Interaction and imitation with heterogeneous agents: A misleading evolutionary equilibrium

In a two-population evolutionary game we analyze the interaction between individuals belonging to two populations with the same strategy set but different payoffs. Agents play a game against individuals in the two populations. They imitate agents belonging to the same and also the alternative popula...

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Detalles Bibliográficos
Autores: Cabo García, Francisco José, García González, Ana
Tipo de recurso: artículo
Estado:Versión borrador
Fecha de publicación:2020
País:España
Institución:Universidad de Valladolid
Repositorio:UVaDOC. Repositorio Documental de la Universidad de Valladolid
OAI Identifier:oai:uvadoc.uva.es:10324/51703
Acceso en línea:https://doi.org/10.1016/j.jebo.2020.09.002
https://uvadoc.uva.es/handle/10324/51703
Access Level:acceso abierto
Palabra clave:1207.06 Teoría de Juegos
5307.15 Teoría Microeconómica
Descripción
Sumario:In a two-population evolutionary game we analyze the interaction between individuals belonging to two populations with the same strategy set but different payoffs. Agents play a game against individuals in the two populations. They imitate agents belonging to the same and also the alternative population. When a revising agent is matched with an individual in the alternative population who plays differently, his expected payoff and the observed payoff of his partner diverge. Hence, he conjectures the payoff from switching to the other strategy by weighing what he expected and what he observes. The evolutionary dynamics has a unique asymptotically stable fixed point, which typically differs from the evolutionary stable equilibrium without inter-population imitation. For a collective action game we analyze to what extent the compliance rate and the social welfare differ from the Nash equilibrium, and how these gaps depend on the confidence that agents assign to what they see.